Search a number
-
+
223137948037 is a prime number
BaseRepresentation
bin1100111111010000001…
…1101110000110000101
3210022221212102020012211
43033310003232012011
512123441303314122
6250301432343421
722056365156314
oct3176403560605
9708855366184
10223137948037
11866a5611004
12372b4544b71
1318070b4a6a4
14ab2b03c27b
155c0e932877
hex33f40ee185

223137948037 has 2 divisors, whose sum is σ = 223137948038. Its totient is φ = 223137948036.

The previous prime is 223137948001. The next prime is 223137948041. The reversal of 223137948037 is 730849731322.

223137948037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121637722756 + 101500225281 = 348766^2 + 318591^2 .

It is a cyclic number.

It is not a de Polignac number, because 223137948037 - 27 = 223137947909 is a prime.

It is a super-3 number, since 3×2231379480373 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223137948097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111568974018 + 111568974019.

It is an arithmetic number, because the mean of its divisors is an integer number (111568974019).

Almost surely, 2223137948037 is an apocalyptic number.

It is an amenable number.

223137948037 is a deficient number, since it is larger than the sum of its proper divisors (1).

223137948037 is an equidigital number, since it uses as much as digits as its factorization.

223137948037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 223137948037 in words is "two hundred twenty-three billion, one hundred thirty-seven million, nine hundred forty-eight thousand, thirty-seven".